
<h1><span class="yiyi-st" id="yiyi-12">numpy.linalg.det</span></h1>
        <blockquote>
        <p>原文：<a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.linalg.det.html">https://docs.scipy.org/doc/numpy/reference/generated/numpy.linalg.det.html</a></p>
        <p>译者：<a href="https://github.com/wizardforcel">飞龙</a> <a href="http://usyiyi.cn/">UsyiyiCN</a></p>
        <p>校对：（虚位以待）</p>
        </blockquote>
    
<dl class="function">
<dt id="numpy.linalg.det"><span class="yiyi-st" id="yiyi-13"> <code class="descclassname">numpy.linalg.</code><code class="descname">det</code><span class="sig-paren">(</span><em>a</em><span class="sig-paren">)</span><a class="reference external" href="http://github.com/numpy/numpy/blob/v1.11.3/numpy/linalg/linalg.py#L1723-L1781"><span class="viewcode-link">[source]</span></a></span></dt>
<dd><p><span class="yiyi-st" id="yiyi-14">计算数组的行列式。</span></p>
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<tr class="field-odd field"><th class="field-name"><span class="yiyi-st" id="yiyi-15">参数：</span></th><td class="field-body"><p class="first"><span class="yiyi-st" id="yiyi-16"><strong>a</strong>：（...，M，M）array_like</span></p>
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<div><p><span class="yiyi-st" id="yiyi-17">输入数组以计算行列式。</span></p>
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<tr class="field-even field"><th class="field-name"><span class="yiyi-st" id="yiyi-18">返回：</span></th><td class="field-body"><p class="first"><span class="yiyi-st" id="yiyi-19"><strong>det</strong>：（...）array_like</span></p>
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<div><p><span class="yiyi-st" id="yiyi-20"><em class="xref py py-obj">a</em>的决定因素。</span></p>
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<div class="admonition seealso">
<p class="first admonition-title"><span class="yiyi-st" id="yiyi-21">也可以看看</span></p>
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<dt><span class="yiyi-st" id="yiyi-22"><a class="reference internal" href="numpy.linalg.slogdet.html#numpy.linalg.slogdet" title="numpy.linalg.slogdet"><code class="xref py py-obj docutils literal"><span class="pre">slogdet</span></code></a></span></dt>
<dd><span class="yiyi-st" id="yiyi-23">另一种表示行列式的方法，更适合于可能发生下溢/溢出的大矩阵。</span></dd>
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<p class="rubric"><span class="yiyi-st" id="yiyi-24">笔记</span></p>
<div class="versionadded">
<p><span class="yiyi-st" id="yiyi-25"><span class="versionmodified">版本1.8.0中的新功能。</span></span></p>
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<p><span class="yiyi-st" id="yiyi-26">广播规则适用，有关详细信息，请参阅<code class="xref py py-obj docutils literal"><span class="pre">numpy.linalg</span></code>文档。</span></p>
<p><span class="yiyi-st" id="yiyi-27">行列式通过使用LAPACK例程z / dgetrf的LU因式分解来计算。</span></p>
<p class="rubric"><span class="yiyi-st" id="yiyi-28">例子</span></p>
<p><span class="yiyi-st" id="yiyi-29">2-D数组[[a，b]，[c，d]]的行列式是ad-bc：</span></p>
<div class="highlight-default"><div class="highlight"><pre><span></span><span class="gp">&gt;&gt;&gt; </span><span class="n">a</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">],</span> <span class="p">[</span><span class="mi">3</span><span class="p">,</span> <span class="mi">4</span><span class="p">]])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">np</span><span class="o">.</span><span class="n">linalg</span><span class="o">.</span><span class="n">det</span><span class="p">(</span><span class="n">a</span><span class="p">)</span>
<span class="go">-2.0</span>
</pre></div>
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<p><span class="yiyi-st" id="yiyi-30">计算矩阵堆栈的决定因素：</span></p>
<div class="highlight-default"><div class="highlight"><pre><span></span><span class="gp">&gt;&gt;&gt; </span><span class="n">a</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span> <span class="p">[[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">],</span> <span class="p">[</span><span class="mi">3</span><span class="p">,</span> <span class="mi">4</span><span class="p">]],</span> <span class="p">[[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">],</span> <span class="p">[</span><span class="mi">2</span><span class="p">,</span> <span class="mi">1</span><span class="p">]],</span> <span class="p">[[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">3</span><span class="p">],</span> <span class="p">[</span><span class="mi">3</span><span class="p">,</span> <span class="mi">1</span><span class="p">]]</span> <span class="p">])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">a</span><span class="o">.</span><span class="n">shape</span>
<span class="go">(3, 2, 2)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">np</span><span class="o">.</span><span class="n">linalg</span><span class="o">.</span><span class="n">det</span><span class="p">(</span><span class="n">a</span><span class="p">)</span>
<span class="go">array([-2., -3., -8.])</span>
</pre></div>
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